{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "# Ignore numpy dtype warnings. These warnings are caused by an interaction\n",
    "# between numpy and Cython and can be safely ignored.\n",
    "# Reference: https://stackoverflow.com/a/40846742\n",
    "warnings.filterwarnings(\"ignore\", message=\"numpy.dtype size changed\")\n",
    "warnings.filterwarnings(\"ignore\", message=\"numpy.ufunc size changed\")\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "%matplotlib inline\n",
    "import ipywidgets as widgets\n",
    "from ipywidgets import interact, interactive, fixed, interact_manual\n",
    "import nbinteract as nbi\n",
    "\n",
    "sns.set()\n",
    "sns.set_context('talk')\n",
    "np.set_printoptions(threshold=20, precision=2, suppress=True)\n",
    "pd.options.display.max_rows = 7\n",
    "pd.options.display.max_columns = 8\n",
    "pd.set_option('precision', 2)\n",
    "# This option stops scientific notation for pandas\n",
    "# pd.set_option('display.float_format', '{:.2f}'.format)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [],
   "source": [
    "def df_interact(df):\n",
    "    '''\n",
    "    Outputs sliders that show rows and columns of df\n",
    "    '''\n",
    "    def peek(row=0, col=0):\n",
    "        return df.iloc[row:row + 5, col:col + 8]\n",
    "    interact(peek, row=(0, len(df), 5), col=(0, len(df.columns) - 6))\n",
    "    print('({} rows, {} columns) total'.format(df.shape[0], df.shape[1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(ch:viz_matplotlib)=\n",
    "# Customizing Plots using `matplotlib`\n",
    "\n",
    "Although `seaborn` allows us to quickly create many types of plots, it does not give us fine-grained control over the chart. For example, we cannot use `seaborn` to modify a plot's title, change x or y-axis labels, or add annotations to a plot. Instead, we must use the `matplotlib` library that `seaborn` is based off of.\n",
    "\n",
    "`matplotlib` provides basic building blocks for creating plots in Python. Although it gives great control, it is also more verbose—recreating the `seaborn` plots from the previous sections in `matplotlib` would take many lines of code. In fact, we can think of `seaborn` as a set of useful shortcuts to create `matplotlib` plots. Although we prefer to prototype plots in `seaborn`, in order to customize plots for publication we will need to learn basic pieces of `matplotlib`.\n",
    "\n",
    "Before we look at our first simple example, we must activate matplotlib support in the notebook:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# This line allows matplotlib plots to appear as images in the notebook\n",
    "# instead of in a separate window.\n",
    "%matplotlib inline\n",
    "\n",
    "# plt is a commonly used shortcut for matplotlib\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Customizing Figures and Axes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to create a plot in `matplotlib`, we create a *figure*, then add an *axes* to the figure. In `matplotlib`, an axes is a single chart, and figures can contain multiple axes in a tablular layout. An axes contains *marks*, the lines or patches drawn on the plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ff38f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a figure\n",
    "f = plt.figure()\n",
    "\n",
    "# Add an axes to the figure. The second and third arguments create a table\n",
    "# with 1 row and 1 column. The first argument places the axes in the first\n",
    "# cell of the table.\n",
    "ax = f.add_subplot(1, 1, 1)\n",
    "\n",
    "# Create a line plot on the axes\n",
    "ax.plot([0, 1, 2, 3], [1, 3, 4, 3])\n",
    "\n",
    "# Show the plot. This will automatically get called in a Jupyter notebook\n",
    "# so we'll omit it in future cells\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To customize the plot, we can use other methods on the axes object:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAEWCAYAAABBvWFzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzsnXd8VNeZ97/PjBpqgLqEAFEkVOngArbpxWDAvSa246w32WQ3W97NJtls2r7OZlM2ebPx7sYbJ3Hiho0bmG4b3ACDKEKoAKIICVUkJNTbnPePO7JlkJA0mpk7Vzrfz2c+M3Pvuff+BLp67nnOU0QphUaj0Wg0Q8VmtgCNRqPRDA+0QdFoNBqNW9AGRaPRaDRuQRsUjUaj0bgFbVA0Go1G4xa0QdFoNBqNW9AGRaMZJCLysIjsMvH6E0SkUUTsfez/gYg8721dGo02KBpNH4jIQhHZJyL1IlIrIh+LyDyl1AtKqRVm6VJKXVBKhSqluszSoNH0hp/ZAjQaX0REwoG3ga8CrwABwC1Am5m6NBpfRs9QNJreSQFQSr2klOpSSrUopXYppY6LyGMi8lH3QBFRIvIVETktIpdF5GkREee+z7mfRCTJOd7P+f0xETkrIg0ick5EHnZut4nId0WkWESqRORPIjK6j3NMEpH3nefYDUT1uF6QiDwvIjUiUicih0Qk1gv/fpoRiDYoGk3vnAK6ROQ5EVktImP7Gb8WmAfMAO4DVvZ3AREJAX4NrFZKhQE3A8ecux9zvhYDk4FQ4Dd9nOpF4DCGIflX4NEe+x4FRgPjgUjgK0BLf9o0GlfQBkWj6QWl1BVgIaCA/wWqRWTzdZ7uf6KUqlNKXQD2ADMHeCkHkCkio5RS5UqpPOf2h4H/UEqdVUo1At8GHuielXQjIhMwDNm/KKXalFIfAFt6DOnAMCRTnTOtw86fTaNxO9qgaDR9oJQqUEo9ppRKBDKBBOBXfQyv6PG5GWNG0d/5m4D7MWYN5SKyVURSnbsTgOIew4sx1jyvNmgJwGXnuXqO7ebPwE7gZREpE5Gfioh/f9o0GlfQBkWjGQBKqULgjxiGZTA0AcE9vsdddd6dSqnlQDxQiDEbAigDJvYYOgHoBCqvOn85MNbpPus5tvv8HUqpHyql0jFcamuBLw7yZ9BoBoQ2KBpNL4hIqoj8g4gkOr+PBx4EDgzyVMeAW525I6MxXFfd14gVkXVOY9AGNALdocAvAX/nXHAPBX4MbFRKdfY8uVKqGMgGfigiASKyELijxzUWi0iWM2flCoYLTIcbazyCNigaTe80ADcAn4hIE4YhOQH8w2BOopTaDWwEjmMsnL/dY7fNeb4yoBa4Dfgr577fY7irPgDOAa3AX/dxmYecWmuB7wN/6rEvDtiEYUwKgPcBnfSo8QiiG2xpNBqNxh3oGYpGo9Fo3II2KBqNRqNxC9qgaDQajcYtaIOi0Wg0GrcwoopDRkVFqaSkJLNlaDQajaU4fPjwJaVUdH/jRpRBSUpKIjs722wZGo1GYylEpLj/UdrlpdFoNBo3oQ2KRqPRaNyCNigajUajcQvaoGg0Go3GLWiDotFoNBq3YKpBEZHfO9ubnuhjv4jIr0WkSESOi8jsHvsedbZcPS0ij/Z2vEaj0Wi8h9kzlD8Cq66zfzWQ7Hw9Cfw3gIhEYFRVvQGYD3x/AC1aNRqNRuNBTM1DUUp9ICJJ1xmyHviTMkoiHxCRMSISDywCdiulagFEZDeGYXrJI0JzXoamaohOhagUGD0ebGbb4v6paWzj+MV6rrR0UN/SgU2E+ZMiSI4JRUTMlqexAnUXoPYsXCmHxgrjd3/cHBibBBb4HWrvdLD/bA1VV1pxKEWXA5Iig5k3KQJ/u+/fw1bD1xMbxwElPb6XOrf1tf0aRORJjNkNEyZM6G1I/+S9Aad2fPY9fBzc/Ncw+1EICO77OBPocig+OFXNxkMlvFNQSafj2vYEUaEB3Joczd8sTSYpKqSXs2hGNI4uOLkNPvktnP+w9zHBkZB1H9z6fyAkyrv6BsC+oku8duQiu/MruNLaec3+8CA/FqfGcP/c8dw81ff0WxVfNyi9PQKp62y/dqNSzwDPAMydO9e15i8PbYTmWqg+CdUFkLsJdnwLPvg5LPw7uPGvfGLGUlTVwN9uPMaJi1eICAngsZuTWJERR2RoAKNH+dPc1sWBszXsP1vDzrwKthwv4/EFk/j6kqmEB+k24xrg3Ifw1tegrhjCE2Hp9yBxPoQnQGiMMVspzYbzH8HB38LRPxsPVzd9HQJDzVZPdUMbP9iSx9bj5YQF+bEiPY410+NIjgnDZhMEyL1Yz+78St4rrOKtY2Wsn5nAd9ekEx0WaLZ8y2N6gy2ny+ttpdQ1vbpF5LfAXqXUS87vJzHcXYuARUqpv+xtXF/MnTtXua30SvF++OBncOZdSFkFd/4WRo1xz7kHiVKKP+0v5sfbCggJ9ON7a9O5PSueAL++jVzVlVZ+tvMkm46UEhkSyG+/MIc5E/Uy1IjF0WX8Pr//7xAxGZZ+H6bdDvbrPHNWn4L3fgQFWwxX8EMbjWNN4q1jF/n+5jya27r4m6VT+YtbJxPoZ+9zfFtnF/+99wz/tecMQf42frAug7tmJ3pRsXUQkcNKqbn9jvNxg7IG+DpwO8YC/K+VUvOdi/KHge6oryPAnO41lb5wq0EBUAoO/c6YrYyZCA+8ADFp7jv/AOjocvCNl4+yLbeCRdOi+ek904kJCxrw8bml9fz1S0cor2/l1w/OYmVGnAfVanyS5lp45YuGe2v6A7DmF4ObbZzdC688CmKDB16EiTd5TGpf/Oa90/x81ylmTRjDT++eTnJs2ICPPVPdyLdfz+XguVq+uWoaf7VoqgeVWhNLGBQReQljthEFVGJEbvkDKKX+R4yV499gLLg3A48rpbKdx34J+I7zVE8ppf7Q3/XcblC6Kd5v3JAdLfD4Voif4f5r9EJHl4O/fvEoO/Iq+PbqVJ68dbJLi+01jW186blsckvr+OG6DL5wU5L7xWp8k9Yr8OcNUJELa38Fsx527TyXiuDF+6C+BO78H8i82706+0Apxc93neTpPWe4c9Y4fnbPdPxcWGzv6HLwD6/ksDmnjK/cNoV/WjVNB670wBIGxdt4zKAA1JfC71dBZxs8sdPjU//OLgffePkYW3PL+d7adL60cNKQztfc3slfv3iUdwur+Le7snhwvosBDBrr0N4ML9wDJZ/A/c/DtNVDO19zLbz8EJQegkdeg8mL3KGyT5RSPLW1gN99dI4H54/nqQ1Z2GyuG4Euh+J7b53ghU8u8OhNE/nBugxtVJwM1KCYv5I8XBidCI+8Do4O+PNd0FjlsUsppfjmpuNszS3nu2vShmxMAIID/PjtF+Zwa0o0//LmCfadueQGpRqfpbMdNj4CxfuM9b+hGhOA4Ah48GWITIaNX4DK/KGf8zr8/uPz/O6jczx2cxI/vnNoxgTAbhP+74ZMvrxwEs/tL+a5fefdI3QEoQ2KO4lOgYc3QWMlPH+38QToAf58oJjXj17k75al8OVb3DcT8rPb+M1Ds5gUFcJXnz/C2epGt51b42Ps+q4RULLu15B1j/vOO2oMPPwq+I8yXGANFe47dw/2n6nhx9sKWJEey/fWprttJiEifOf2NJalxfKvWwv0g9Ug0QbF3STOhXv/CBXHjZvWzRwrqeNf385naWoMf73E/YuH4UH+PPvoPOw24cvPZVPf0uH2a2hMpmCLEfJ741/B7C+6//xjxsNDrxgusI2PQNe1eSBDoayuha+/eISkyGB+cd+MIc9MrsZmE355/wwmRYXwtReOUFLrmQfD4Yg2KJ4gZaURl5/9LBRuc9tp65rb+doLR4gJC/LIjdTNhMhg/ueRORTXNvPDzXkeuYbGJC4XG3kmCbNg2Q89d52Emcbsp/QQfPQfbjttW2cXX33hCG2dDn77hbmEeSh/KizIn2e+MIdOh+Irzx+mvdPhkesMN7RB8RRLvwdxWcbNe6V8yKdTSvF/Xj1OVUMrTz88mzHBAW4Q2TfzJ0XwtUVTeP3oRXblecZtofEyXR3w2hNGuPs9vwc/z/4OkXUPZN5j5LaUHXXLKZ9+r4ickjp+fu8MpsZ4NpFycnQov7h3BnllV/ivvUUevdZwQRsUT+EXCHf/3gglfvMr4BjaE87bx8t5p6CSf1qVyszx3kmg/PqSZNLjw/nOG7nUNrV75ZoaD/LRL40Zwx3/z3sJiGt+DiEx8PqTxr0wBAorrvBfe43w4FWZ3smXWpERx/qZCTy9p4jCiiteuaaV0QbFk0SnwKofG4lfOS+6fJr6lg5+uCWfrHGjeXzB0CO6BkqAn41f3DeD+pYOvvdWrx0GNFah9qxRKijjTsi8y3vXHTUWNjwNl07Buz9y+TRdDsW3XsslfJQ//7I23Y0C++f7d2QQHuTPNzcdp7NLu76uhzYonmb2YzD+Btj9fWipc+kU/76jkNqmNv7trizsHlo36Yu0+HC+sTSZt4+Xs1O7vqyJUrDtH8HuDyt/7P3rT1kC874Mn/yPkUDpAn/cd55jJXV8/450IkI87Kq7ioiQAH6wLoPjpfU8+9E5r17bamiD4mlsNrj9Z9BSC3sGfzMfLq7lxU8u8PiCSWSOG+0Bgf3zldumkBIbylNbC2jr7DJFg2YI5L8FRe/A4n82ijyawZLvQtAY2PFtw8ANgtLLzfx850mWpMawboY5+tdOj2dFeiz/sfsUpZd11FdfaIPiDeJnwNwvwaH/hYqBu446uxx85/UTJIwO4u+Xp3hQ4PXxs9v47pp0LtQ262Qvq9HWYPwRj8uC+U+ap2PUWMOonP/QMHCD4Gc7T6JQ/OuGTNMy10WEH6zLAOAXu06ZosEKaIPiLRb/s/GEtu0fB/yE9vqRi5ysbOC7a9MJCTS308CtKdEsSY3hP98t4lJjm6laNIPgw/+AhjJY88vrVw72BnMeg9hM2PUvA16gzy2t561jZTyxcBLjxozyrL5+SBgziicWTuKNoxfJLa03VYuvog2KtwiOgGU/gAv7BvSE1trRxS/fOcWM8WNY7aWIlv74zu1ptHR08cvd+gnNEjRUwoH/hqx7Yfw8s9WAzQ6rfgL1F2Dfb/odrpTix9sKiAgJ4C9vm+IFgf3z1UVTiAwJ4Klt+YykOogDRRsUbzLrEaNvxN5/M/pPXIc/7T9PeX2rT1U9nRoTyiM3TuSlgxd0CKUV+OBnRm25Rd82W8lnTLoF0tcbyY5N1y9rsvdkNfvP1vCNpck+0wAuLMifv12WzIGztbxb4Ll6fVZFGxRvYrPD4u9AdSGceK3PYfUtHTy95wy3pkRz8xTfak/6jaXJhAT66VmKr3P5PBz+I8z6AkT6xtP9pyz+LnS2wsf/r88hXQ7Fv20vICky2OcqXz8wfwKTo0L48fYCHUZ8FdqgeJu09RCbZcxS+qhx9MwHZ6hv6eCbK6d5WVz/jA0J4PEFk9iZV0lBuZ6l+Cx7f2I8wNz2TbOVXEt0ipFBf+h30Fjd65A3j17kVGUj/7gy9bqdR83A327jm6tSOVvdxOacMrPl+BS+9T81ErDZYMk/G4lmOdd2LK5pbOP3H51n3YwE08KE++OJBZMIC/Tj1++eNluKpjeqCiDnZSOqy6ww4f647Z+MWcq+a2cpXQ7F03uLSIsP5/Ys31g/vJoV6bGkxoXx9J4iuhx6LaUbUw2KiKwSkZMiUiQi3+pl/y9F5JjzdUpE6nrs6+qxb7N3lQ+RlFUwbg68/1OjL0UP/vDxeVo7u/jGsmSTxPXP6GB/HluQxPYTFZysaDBbjuZq3v8pBITCwr8zW0nfRE2FrPvg4O+u6R20/UQ5Z6ub+NriKT6zfng1Npvw9SVTOVPdxI4TOuG3G9MMiojYgaeB1UA68KCIfK6mglLq75RSM5VSM4H/BF7vsbule59Sap3XhLsDESOMuP7C50qyNLR28Nz+86zKiGNKtGcL3w2VJxZOIiTAzq/f07MUn6L2LOS/CfO+ZEQW+jK3fRO62j+3lqKU4uk9Z5gcHcLqzHgTxfXP6sx4JkeH8J/vndYRX07MnKHMB4qUUmeVUu3Ay8D664x/ELjWR2RVpiwxEh73/ebTwpEvfnKBhtZOvrrIxxZRe2FMcACP3pzEttxyTlfqWYrPsO83YPMzep34OpFTYPr9cOhZaKoB4L3CKgrKr/DV26Z4vczQYLHbhK8tmkphRYOO+HJipkEZB5T0+F7q3HYNIjIRmAS812NzkIhki8gBEdnQ10VE5EnnuOzq6t4XAE1BBG7+G6g5Dad20NrRxe8+OsfCqVFMT/RONeGh8uVbJjPK385/v3/GbCkaMBa4j70AMx6AMN9ce7iGhX8LnS2Q/SxKKX6zp4hxY0axYVavfwp8jvUzExgfMUrPUpyYaVB6e/zo63/kAWCTUqpn8sYEpdRc4CHgVyLS62O9UuoZpdRcpdTc6OjooSl2N+kbYMwE2PdrXjtSSnVDmyVmJ91EhARw75xEtuSUUXWl1Ww5mk/+Bzrb4OZvmK1k4ERPg+QVcPAZDpwu4+iFOr5y22T87daIF/Kz2/irRVPJKa1n35kas+WYjpn/a6XA+B7fE4G+YvAe4Cp3l1KqzPl+FtgLzHK/RA9j94MbvwYX9vPhe9uZkTiam6dEmq1qUDy+YBKdDsWf9hebLWVk09Zg1IpLW2sseFuJm74GTdUU7nyWyJAA7p07vv9jfIg7Z40jMiSAP3ysKxGbaVAOAckiMklEAjCMxjXRWiIyDRgL7O+xbayIBDo/RwELgHyvqHY3sx6h3X8065s38ZXbfDeqpS+SokJYlhbLC58U09qhKxGbxpE/QWs9LPDhyK6+mHQb7VHpLKh+mYfnjyfI3262okER5G/n4Rsm8G5hFecvNZktx1RMMyhKqU7g68BOoAB4RSmVJyI/EpGeUVsPAi+rzzso04BsEckB9gA/UUpZ06AEhrI1cDUr7dksj200W41LPLFwEpebO3j9yEWzpYxMHF3wyW9hws2QOMdsNYNHhK2hd5Niu8iX4qy5HvfIjRPxswl/HOHVuE11VCqltimlUpRSU5RSTzm3fU8ptbnHmB8opb511XH7lFJZSqkZzvdnva3dXZysaODHl25FiR2/w9b8MW6YFEHmuHCe/egsDp3k5X1O74a6YrjBxPL0Q6CxrZMfnkujzi+KMcd+a7Ycl4gJD2Lt9AQ2HS6lobXDbDmmYY2Vr2HMn/afp94vgs7UdXDsRWi33pRZRHhi4STOVDfx/mkfiqQbKRz6XwiLh9S1ZitxiU3ZJdS1QfPMJ+Dc+1BpTWfD4wuSaGzr5JXsUrOlmIY2KCZS32K4idbPSCDwpr+EtnrI3WS2LJdYk5VATFigbsDlbWrOGN0Y5zxutPi1GA6H4rn9xcyaMIaExU+CPQAO/8FsWS4xPXEMcyaO5bl950dsORZtUEzk1ewSWjq6ePTmJKPvfGym8bRpwXj2AD8bD8wbz/unqimp1S1Svcah34HN32heZUHeP1XNuUtNPL5gEoREGaXtc16GNmuuJ35pwSQu1Dazp3BkJjpqg2ISDofizweKmTtxrFEEUgTmPQEVuVCabbY8l7h//gQE2HiopN+xGjfQ3gRHXzD+CIfFmq3GJZ4/UEx0WOBnTeTmPgFtV67b3sGXWZERS1RoIC8fumC2FFPQBsUkPiy6RHFNM1+8OemzjVn3QUCY8dRpQcaNGcXiaTFszC6hQ/eJ8DzHXzHcpPP/wmwlLlFe38Kek1XcNzfxs0TGCTdCdBpk/95ccS7ib7dx39xE3iusorx+YG2OhxPaoJjExkMXiAgJYGVGjyfLwFCY+SDkvd5vNztf5aEbJlDd0MY7+ZVmSxn+ZP/e6K0z/gazlbjEq9mlOBQ8MK9HA63umXr5Mbh42DxxQ+CBeRNwKHjl0MhbnNcGxQQuNbaxO7+Su2aNI9DvqiSuuU8YFViPPm+OuCGyaFoMCaODeOGTkTnl9xplx6DiOMx51PgjbDG6HIqNh0q4JTmK8RHBn985/T7wD7bsLGVCZDC3JEex8dCFEbc4rw2KCbxx5CIdXYr75/VSYiImFcbfaBgUCy7O223CA/Mn8FHRpRGfNexRjv4Z7IGQdY/ZSlziw9PVXKxr+fzspJug0ZB1L+S+Bi111+63AA/On0BZfSsfnBpZYfTaoHgZpRQvH7rAnIljSY4N633QrEeMKsQlB70rzk3cP288dpvw0ghdmPQ4HS1w/FVIXwejxpqtxiVePlhCZEgAy9P7CCaY85hRhdiii/PL0mKJCg3gxYMj6x7QBsXLZBdf5kx1U++zk24yNoB/iPEUakFiw4NYkhrD60cu0qkX591PwRZjMX7WF8xW4hJVDa28U1DJPXMS++4XnzALYtKNcvwWJMDPxr1zx/NeYRUV9SOnErc2KF7m5YMlhAb6sXb6dbrRBYZBxp2Q94Zl4/HvmZNIdUMbH562ZnCBT3PkTzA2CZJuMVuJS2w6XEqnow+XbzciMPNhY2G+qtB74tzIA/PG0+VQvHZk5CzOa4PiRa60drA1t4x1MxMIDvC7/uBZj0B7I+S/5R1xbmbxtBgiQgLYdHjk3ExeofYsnP/Q+P2wWe/2VUqx6XAp85MimNxfm+vp9xvdJy06S5kYGcK8pLG8dqR0xDTfst5vpIXZeryc1g4H9w2k38OEGyFiimWjvQL8bKyfmcDu/ErqmtvNljN8OPo8iM14ercgOaX1nK1u4u45A+jIGBoNySvh+Ebo6vS8OA9w9+xEzlY3cazEmsEFg0UbFC/yxpGLTIkOYUbi6P4Hi8Csh+HCPrhU5HlxHuCeOYm0dznYktNX3zTNoHA4jLIkU5ZCeILZalzitcOlBPrZWJ11HZdvT2Y9DI2VRr0yC3L79HgC/Wwjxu2lDYqXKKlt5uD5Wu6anTjwJlozHjSeRnNe9Kw4D5GRMJq0+HDt9nIXxR/BlYtGz3gL0tbZxZbjZazMiCM8aICFLJNXQHCUZd1e4UH+rMyIY0tOOW2dw78BnTYoXuKNo0bzqQ2zBjDV7yY8ASYvNkJEHdaMlrpnTiI5pfWcqmwwW4r1ydlolOZJXWO2EpfYU1hFXXMHd80exD1g9zfWUk5uhyZr9my/e04i9S0dvFsw/AtGmmpQRGSViJwUkSIR+VYv+x8TkWoROeZ8fbnHvkdF5LTz9ah3lQ8OpRSvHynlxskRjBszanAHT78f6i9AyQHPiPMw62cm4GcTPUsZKu3NRoBG+nrwH+TvkI/w2pGLRIcFsnBq1OAOnPkQODqMkkQWZOHUKGLDA3l9BLi9TDMoImIHngZWA+nAgyKS3svQjUqpmc7X75zHRgDfB24A5gPfFxGfzfA6WlLH+Zpm7pqdOPiDU9cYZSiOv+J+YV4gKjSQRdNieOvYxRFXhsKtnNoO7Q1GWRILUtPYxp7CKu6cNQ4/+yD/7MRlGjkpua96RpyHsduEDbPGsfdkNZca28yW41HMnKHMB4qUUmeVUu3Ay8D6AR67EtitlKpVSl0GdgOrPKRzyLx+xLkQ2V2iezAEhhpGJe8N6LTmL+OGWQlUXmnjk3PWdFn4BDkbIXycZXNPtuSU0elQg3N39STrXij5BC6fd6sub3HP7EQ6HYrNx4Z3gIqZBmUc0LNxRqlz29XcLSLHRWSTiHTH2w70WETkSRHJFpHs6mrv19Vp6+zi7ePlrMyII2ygC5FXM/1+aK0zeodbkKWpsYQE2Hnr6PC+mTxGY7UR5ZR1ryVzTwDeOFZGWnw4qXHhrp2gu2aZRWcpybFhpMeHs3mYRzya+dvZW6jT1T6RLUCSUmo68A7w3CCONTYq9YxSaq5Sam50dLTLYl1l78lq6po7uNPVJzMwFuaDo4x4fAsyKsDOysw4tp0YGZEubufEa6C6LBvdVVzTRE5JHetnDiHUecwEmHCzEaBi0STB9TMTOFZSR3HN8C2aaqZBKQV6ZvglAp8z30qpGqVUt5/nf4E5Az3WV9icU0ZESAC3DHYhsid2P+MJ7dQOy1ZfXT9zHA2tnew9ObKqr7qF4xshbjrEpJmtxCW63Tx3zBhi7sz0e+HSSaNsvwXp/vmHs9vLTINyCEgWkUkiEgA8AGzuOUBEemY/rQMKnJ93AitEZKxzMX6Fc5tP0dTWybsFldyeFTf4hcirmX6f0SelYHP/Y32QBVMiiQoN4K1jF82WYi1qz0LZEcuWqVdKsTmnjHlJYwcf4Xg16RvA5m/ZAJWEMaOYnxTBWzllw7YUi2kGRSnVCXwdwxAUAK8opfJE5Eciss457G9EJE9EcoC/AR5zHlsL/CuGUToE/Mi5zad4p6CS1g4H62YMwd3VTcJsoxSLRX3IfnYba6cn8E5BFQ2tHWbLsQ4nnKGyGXeZq8NFCisaOF3VyLqhzk4AgiMgeTnkbgKHNV2n62YmUFTVSEH58MzLMnWFTym1TSmVopSaopR6yrnte0qpzc7P31ZKZSilZiilFiulCnsc+3ul1FTn6w9m/QzXY0tOGfGjg5g70Q0RzSKQeTec/wgarNled93MBNo7Hew4UWG2FOtw4nWj4dqYAdR/80E255Rhtwm3D7TUSn9k3QuNFcZ9YEFuz4rHzybDdnHemiEjFqCuuZ33T1Wzdno8NpubWrRm3gXKYdkKxLPGj2FCRPCwvZncTlUBVOUZDxIWRCnFlpwyFk6NIjI00D0nTVll9AqyaJJjREgAtyRHsSWnDMcwzMvSBsVD7MyroKNLDX0hsicxaRCdZtmbSUS4Y0Y8+87UUDPME7zcwonXjVpu6QNNz/Itjlyoo/Ryi3vcXd0EBMO0VZC/Gbqs6TpdNzOBi3UtHLlw2WwpbkcbFA+xOaeMpMhgssYNoLLwYMi8Cy7sh3prLm6vyUqgy6HYkafdXtdFKSNcOOkWCOujTa6Ps/nYRQL9bKzIcLP+jLugpRbOfeDe83qJ5elxBPnbhuVMXRsUD1DV0Mr+MzXcMSNh4JWFB0r34mzeG+49r5dIiw9jclQIW4+Xmy3FtynPgdozlnV3dTkU205UsHhajOsJvX0xdZlRJNOiM/XQQD8WT4th+4mKYVeOSBsUD7A9twKHckPcfW9ETTVyEix6M4kIa6fHc+BsDdW4lUaDAAAgAElEQVQN2u3VJydeM7oVpt1hthKXOHS+luqGNtZcr9W1q/gHQertUPA2dFqzedvtWfFUN7Rx6LzPBacOCW1QPMDW3HKSY0JJiQ3zzAUy7zJ6bVu0rtGa6Qk4FNrt1RdKGTPQKUuMUFkLsi23nEA/G0tSYzxzgYy7jHJEZ/d65vweZklqDEH+NrblDq+ZujYobqbqSiuHzte6L0yyNzLuNN4t6vZKiQ1lakwoW48PPx+yW7h4BOpLPvt/thhdDsX2ExUsSY0hJNDPMxeZsgQCR1v2HggJ9GNJagzbcoeX20sbFDezI68CpfDMVL+bsUkwbs5nSW8WQ0RYkxXPJ+dqqbrSarYc3yP/DSMjfNpqs5W4RLe7y6MPVX4BkLYWCrdatgr37VnxXGps4+C54eP20gbFzWzLLWeqJ91d3aRvMGoa1Z7z7HU8xJrp8SgF23WS4+dRysgzmrwIRvlsi5/rsi23nCB/D7q7usm4C9rqoehdz17HQwxHt5c2KG6kusF42vDok1k36c7qNBat7ZUSG0ZKbChva7fX5yk/BnUXIGOD2UpcotvdtXiaB91d3Uy+DYLGWPYeCA4w3F7DKdpLGxQ3siPPiO66PcuFRlqDZWwSxM+0bNY8GFP+7OLLVDVot9en5L1pRHdNu91sJS7hFXdXN3Z/49+pcJtlo73WZCUMK7eXNihuZNvxciZHhzDN0+6ubtLXG9FedSX9j/VBVmcabq+dedasTeZ2ut1dk261dHSXV9xd3aSvN9xeFk1yXJwazSh/O1tzh8dMXRsUN3Gp0WhxuyYr3v3JjH3RXZKjYIt3rudmUmJDmRwVwo4Tw8eHPCQqcuHyOWN9zII4HIod3nJ3dTNlsZHkmP+md67nZoID/Fg0LZqdeZXDoraXNihuYuen7i4vTPW7iZwCsVmWdXuJCKuz4jhwtpbaJmu6LNxK/psgdkhda7YSlzhy4TJVDW2syvSCy7cbv0CjtlfhVujq9N513ciqzDiqG9qGRW0vbVDcxI4TFSRFBpMa5yV3Vzfp66HkAFyx5pR5dWY8XQ7F7vwRHu31qbvrFgiJNFuNS+w4UUGA3Yvurm7S1hm1vYqtWdJ+SWoMAXbbsIh4NNWgiMgqETkpIkUi8q1e9v+9iOSLyHEReVdEJvbY1yUix5wvU8M86ps72H+mhlWZXnR3dfOp2+tt717XTWQkhJM4dtSwuJmGRFUB1BQZfxwtiFJGdNfC5Cj31+7qj6nLwD/YqEBsQcKC/FmYHMWOExWW7+RomkERETvwNLAaSAceFJH0q4YdBeYqpaYDm4Cf9tjXopSa6XyZehe+U1BJp0N5d6rfTXSKUdLeym6vzDg+LrpEfYs1y5G7hYItgFjW3ZVXdoWLdS2syjDhHggINjo5FmyxbCfHVZlxXKxrIfdivdlShoSZM5T5QJFS6qxSqh14Gfhc4wel1B6lVLPz6wEg0csaB8SOvAriRwcxI9HNpeoHStodcGEfNF0y5/pDZFVmPB1divcKR3C0V8EWmHCjZUvVbz9Rjt0mLEs3SX/aOmiqgpJPzLn+EFmeFovdJpafqZtpUMYBPeNdS53b+uIJYHuP70Eiki0iB0Skz7AYEXnSOS67urp6aIp7oamtkw9OVbMyI8777q5u0u4wOjme3GbO9YfIrPFjiA0PZHuutW8ml6k9C5W5lq0sDMb6yQ2TIogICTBHQMpKsAda1u01NiSAmyZHWt7tZaZB6e2vb6//kiLyCDAX+FmPzROUUnOBh4BficiU3o5VSj2jlJqrlJobHR09VM3XsPdkNW2dDnPcXd3EZcGYiZYNH7bZhFUZcbx/qprmdmtG6gyJ7vUvi7q7Tlc2cKa6idVm3gOBYUYIceHbRoCDBVmVGce5S02cqmw0W4rLmGlQSoHxPb4nAteEKonIMuCfgXVKqU+rwCmlypzvZ4G9wCxPiu2LHXkVRIYEMC/JxEQ0EePp9uxeaL1ino4hsDIzjrZOB++fdP8s0ucp2ALxM2DsxP7H+iA7nG6aFWasn/Qk7Q6jSnP5MXN1uMiKjFhEDPehVTHToBwCkkVkkogEAA8An5uvisgs4LcYxqSqx/axIhLo/BwFLADyvabcSWtHF+8VVLI83fB/mkraHdDVDqd3mavDReYnRTA22J+dI61HypVyKD1oaXfX9hMVzJk4ltjwIHOFpKwGsVk24jEmLIi5E8d+aqCtiGkGRSnVCXwd2AkUAK8opfJE5Eci0h219TMgFHj1qvDgNCBbRHKAPcBPlFJeNygfF12iqb3LXHdXN4nzITTWsm4vP7uNpWmxvFtYRXunw2w53qPQ+cfPouHCJbXN5JdfYaW7+8a7QkgkTFzw2b+pBVmZEUdhRQMXapr7H+yDmJqHopTappRKUUpNUUo95dz2PaXUZufnZUqp2KvDg5VS+5RSWUqpGc73Z83QvzOvgrBAP26eEmXG5T+PzWYUyju9GzpazFbjEisz4mho7eTA2RqzpXiPgi0QlQLR08xW4hLdM8qVZru7ukm7A6oL4dJps5W4xIp0499xl0UTfXWmvIt0djl4p6CKJWkxBPj5yD9j2h3Q0WTZtqi3JEcRHGAfOW6v5lo4/5FlF+MBduVVkhoXxsTIELOlGKSuMd4tOlOf4Ky2YdV7wEf+ElqPw8WXqW1q//SJwidIugWCRlv2Zgryt7NoWjS784dHobx+ObUTVJdl108uNbaRXVxr/mJ8T0YnQsJsy7u9sosvU91gvU6U2qC4yM68SgL8bNw2zf2hyC7jFwApq4x8FIsWyluZEUdVQxtHS+rMluJ5Ct+GsARIMCVAcci8W1CJQ+Eb6yc9SVtrtHWov2i2EpdYmRGHUkYFDquhDYoLKKXYmVfBwqlRhHqrTPdASV0LLZfhwn6zlbjE4tQY/O1i2Sn/gGlvNlrXpq4xwr4tyM68SsaNGUV6fLjZUj5PqnPGV7jVXB0ukhYfxviIUZa8B7RBcYH8cqNukc89mQFMXQp+QZad8ocH+XPTlCh25lk7Y7hfzrwHnS3G07QFaWzr5KPTl8ytENEX0SlGoINF7wERYWV6HPuKamhotVZ9O21QXGBnXiU2gWVpPmhQAkJg8mLj6cyif5BXZsRSXNNs6YzhfincavRDn7jAbCUu8f7Jatq7HL75UAXGTP38R8Zs3YKszIyjvcvBXosl+mqD4gK78iqYOzGCyNBAs6X0TuoaI2O44rjZSlxiebqRMbzLglP+AdHVCae2G+tddi+XencTO50VIuaaWSHieqSuNQIeTlkz0Xf2hLFEhQZYzu2lDcoguVDTTGFFAyt89ckMYJozY9iiPuSYsCBmjR/DrnzrLUoOiAv7jCfn7hBXi9He6WBPYRVL02LMrxDRFwmzICzesm4vu01Ynh7rrBVonZL82qAMku6EI59J5OqNkCgYf6NlDQoYdaFyL9ZTVmfNJM3rUrjVWOeautRsJS5x4GwNDW2dvn0PdCf6Fr1j2UTfFelxNLZ1sv+MdRJ9tUEZJN2JXOMjgs2Wcn3S1kLlCag9Z7YSl1jh7Kuxe7jNUpQyDMqUJcZ6lwXZlV9BcICdBVN9oELE9UhdAx3Nlk30vWlKJCEBdkvN1LVBGQTdiVw+/WTWzbTbjXeLzlImR4cyNSbUsiUo+qQ8x1jfsqi7y+FQ7M6v5LaUaIL87WbLuT5Jt0BguGXdXkH+dm6bFs07Fkr01QZlELxXUIVD4dvrJ91ETILYTMveTGDMUg6craW+2Vqhk9fl5DZjfStltdlKXOL4xXoqr7RZ4x7wC4DkFXByu2VbA69INxJ9c0qtkeirDcog2JXvo4lcfZG6xmiJ2mit0MNuVmTE0eVQvHfSOlP+fincChNuMirjWpBdeRXYbcKSaRYwKGDcA801lm0NvHhaDH42sYzbSxuUAdLc3smHp6udIa0+GtlyNalrjNbAp3aYrcQlpo8bTWx4ILvyrHEz9cvl88a6lkXdXWA8VN0wKYLRwRYJd05eDvYAy/ZIGR3sz42TIy0TQq8NygD54NQl2jod1pjqdxM3HUaPt2yveVuP0MnWDmu6LD5HofP/oXt9y2KcqW6kqKrx04AJSxAYBpNug5PWTfRdkRHLmeomiqp8P9FXG5QBsju/ktGj/Jnvq4lcvSFi/PE68x60N5mtxiVWpMfR0tHFx0WXzJYydAq3QkyGsb5lQboj7pZbISilJ6lrjNlhldd78LmF7oocVoh4NNWgiMgqETkpIkUi8q1e9geKyEbn/k9EJKnHvm87t58UkZWe1NnZ5eDdwkqWpsbgZ7eYDU5dA52thlGxIDdOjiQs0M/6bq+mGiOh0crurrwKMseFM27MKLOlDI5ptwPy2QzRYiSMGcX0xNGWiHg07a+jiNiBp4HVQDrwoIikXzXsCeCyUmoq8Evg353HpmP0oM8AVgH/5TyfRzh0/jJ1zR3Wcnd1M/Fmo0eKRW+mAD8bi1JjeKegki6LhE72yqkdxnqWRQ1KVUMrR0vqWJ5msdkJQFgsJM61dMTj8rRYjpXUUXWl1Wwp16VfgyIiXxeRsR649nygSCl1VinVDrwMrL9qzHrgOefnTcBSMVbE1wMvK6XalFLngCLn+TzCrvwKAv1s3JriQ71PBord36gZdWq7ZXukLE+PpaapnaMXrFnoDzDWscITIX6G2Upc4t2CKpSClZkWfKgCw5CXH4P6UrOVuMSKT3ukVJkt5boMZIYSBxwSkVecLip3hTiNA0p6fC91but1jFKqE6gHIgd4LAAi8qSIZItIdnW1a+Gz7Z0OlqXFEhzgY71PBkrqGkv3SFk0LRp/u3VCJ6/h094nt1u298muvArGR4xiWmyY2VJcY5pzZnhyu7k6XCQlNpSJkcE+7/bq16Aopb4LJAPPAo8Bp0XkxyIyZYjX7u3Outqn0deYgRxrbFTqGaXUXKXU3Oho12YYT92ZxW8esmZXPQCmLAV7oGWjvbp7pOyyao+Us3uM3icWje5qbOvk46IaVqT7YO+TgRKdApHJlnV7iQjL02LZV1RDY5vvehoGtIaijLu4wvnqBMYCm0Tkp0O4dikwvsf3RKCsrzEi4geMBmoHeKxbseyNBBAYCpMXGTeTFf8gY7i9ztc0WyJ08hoKtxnrWEkLzVbiEh+cMnqfWCpcuDdS1zh7pFgj6/xqVmQYPVLe9+EeKQNZQ/kbETkM/BT4GMhSSn0VmAPcPYRrHwKSRWSSiARgLLJvvmrMZuBR5+d7gPecxm0z8IAzCmwSxgzq4BC0DH9S10DdBSOxzoIsd4ZOWs7t1dVpzAyTV1q298muvArGBvszZ6InllK9SOoacHTC6d1mK3GJORPHEhES4NNur4HMUKKAu5RSK5VSryqlOgCUUg7A5f6lzjWRrwM7gQLgFaVUnoj8SETWOYc9C0SKSBHw98C3nMfmAa8A+cAO4GtKqWGQ+eZBpq3GCJ20ZrHIuNFBzBg/xjIZw59S8gm01Fo2uqujy8F7hVUsTYu1Xsj81YybC6GxULjFbCUuYbcJy9JieK+wio4uh9lyemUgayjfU0oV97GvYCgXV0ptU0qlKKWmKKWe6nG9zc7PrUqpe5VSU5VS85VSZ3sc+5TzuGlKKWuutHmT0BgYf4NlfchgFIvMKa2not63Qyc/R+FWY/3Kor1PDp6r5Uprp/XdXeDskbLaCJDosNDvUA+Wp8fR0NrJJ2drzZbSKxZ/5NAMitQ1UJELl3t9PvB5Pu2RUmARt5dShgGfvMgoAWJBduVVEORv45ZkC4bM90bqWmhvhHMfmK3EJW5JjmKUv91n3V7aoIwkUq0dOjk1JpRJUSHWcXtV5kFdsWXdXUopduVXcktyNKMCfLz3yUCZdCsEhFp2ph7kb+fWlCh251f6ZMSjNigjicgpEJ1m2ZtJRFiRHsv+MzXUt1igR8rJbYA416+sx4mLVyivb2X5cHB3deMXaFQgPrnN0j1Syutbyb1Yb7aUa9AGZaSRugaK90Gzb/pg+2NFRhydDsXek76dMQwYhnv8fGP9yoLsyq/AJp8VJxw2pK6FpmoozTZbiUssSY3BbhOfrG+nDcpII3UNqC44tdNsJS4xa/wYokIt0COlrsRo92tRdxfArrxK5iVFEBESYLYU95K8HGz+lp2pjw0JYH5ShE+uo2iDMtJImAVhCZa9mT7rkVLl2z1SusOzp1nToJy/1MTJygZWWq1U/UAIGg2TbrF0ou/KjFhOVTZy7pJvtaXQBmWkIWI8NRe9a9SYsiArMmJpau9i/5kas6X0TeHbEJ0KUVPNVuIS3U+/w2r9pCepa6D2LFSfNFuJS3T3pPG1ABVtUEYiqWuM2lJn95itxCVunhJJSIDvhk7SXGusU6W6nPdrOrvyKkmPD2d8RLDZUjxDd101i87Ux40ZRea4cJ+rHKENykgkaSEEjbFsn+1APzuLUmPYne+jPVJObjfWqdKsaVCqG9o4fOHy8HR3dROeAOPmWLZyBBjRXkcuXKaqwXeSNLVBGYkMgx4pK9JjudTooz1SCt929j6ZabYSl3inoBKlsGZDucGQuhbKjli2R8rK7h4p+b4T8agNykglba3RI6X4Y7OVuMTi1Bj87cJOH/Mh095ktFtOXWP53iepcdbM7h8waXcY7xadpfhijxRtUEYqU5aC3yjL+pDDg/y5eUoUO3ytR0rRu9DZall3V3fvk5VW7n0yUKKSIWoaFFizWGR3ou/HRZe40uobib7aoIxUAoKNgoWFWy0bOrkqM46S2hYKyhvMlvIZhW/DqLEw4WazlbjEnsIqo/fJcF4/6UnaHZZO9F2VGUdHl2JPoW+4vbRBGcmkroErFw0/sgVZlhaLCL7j9urqgFM7IGU12K3ZLnpHXgVRoQHW730yUNLWGgEUFq1vN2v8WKLDAn3mHtAGZSSTsgrEbtlor+iwQOZNjPCZm4nzH0FrvWXdXa0dXewtrGJ5ehx22zB3d3UTPxNGj7es28tmM9xee09W+0SirzYoI5ngCEhaYNl1FDAikQorGiiu8YGM4YLN4B8MkxebrcQlPi66RFN7F6syR4i7C5yJvmuNQIo2C7aXxnB7Nbd38eHpS2ZLMcegiEiEiOwWkdPO92vm1yIyU0T2i0ieiBwXkft77PujiJwTkWPOlzXjM32B1Dvg0inLZgx350qYPktxdBkzveTlxvqUBdlxooKwID9umhxpthTvkrYWutqg6B2zlbjEjZMjCQ/yY8cJ82fqZs1QvgW8q5RKBt51fr+aZuCLSqkMYBXwKxEZ02P/PyqlZjpfxzwveZjS7Z4p2GyuDhcZHxFM5rhw82+mkoPQVAVp6/of64N0djnYXVDJsrRYAvxGmONiwk0QHGlZt5e/3caytFjeKag0vTWwWb8564HnnJ+fAzZcPUApdUopddr5uQyoAoZJ2zgfIjwBEudBvjUNCsDK9DiOXKij6oqJGcMFW8AeAMkrzNMwBA6eq6WuuWN4Z8f3hc1ulGI5vQs628xW4xIrM+Oob+kwvTWwWQYlVilVDuB8v27DCBGZDwQAZ3psfsrpCvuliARe59gnRSRbRLKrq6vdoX34kbYOKo5D7TmzlbhEt8/fNLeXUoZBmbwYgsLN0TBEdjhb/d6WMkKf2dLXQ9sVOLvXbCUucWtyNEH+NtNdvx4zKCLyjoic6OW1fpDniQf+DDyulOqez30bSAXmARHAP/V1vFLqGaXUXKXU3OjoEXqz9Ee6001j0Sn/1JhQpkSHsN0st1f5Mai/8Nm/o8VwOBQ78ypYlBIzfFr9DpZJt0HgaMvO1EcF2FmUEsPOvAocJta385hBUUotU0pl9vJ6C6h0Gopug9FrVo6IhANbge8qpQ70OHe5MmgD/gDM99TPMSIYmwRx0y1rUESE1ZnxfHKulppGE1wW+ZuN8OvuCrYW42hJHZVX2liZOcxrd10PvwCYtsqIeOzyjazzwbI6K46qhjaOlphX384sl9dm4FHn50eBt64eICIBwBvAn5RSr161r9sYCcb6ywmPqh0JpK+D0oNwpcxsJS6xOiuOLodit7fLeStlBDQkLTTCsC3I9txy/O3C0uHW6newpK+H1jo4/6HZSlxiSWoMAXYb23LNc3uZZVB+AiwXkdPAcud3RGSuiPzOOeY+4FbgsV7Cg18QkVwgF4gC/q935Q9DuqOTLJrkmB4fzsTIYLZ52+1VXQg1RZZ1dyml2H6igluSowkP8jdbjrlMWQL+IZZ1e4UF+XNrShTbc8tNc3uZYlCUUjVKqaVKqWTne61ze7ZS6svOz88rpfx7hAZ/Gh6slFqilMpyutAeUUpZMyPJl4ie5iyUZ82bSURYlRnHvqJL1Dd70WWRvxkQyzbTOl5az8W6Fm7Pijdbivn4j4KUFYbby2F+1rkrrM6Mp6y+lZzSOlOuP8ICzjXXJX2dUc6+0ZrRcLdnxtPpUOwu8KLbK/9NI48hzJrhtttyy/GzCctHururm7R10FQNF/abrcQllqXF4m8X0wJUtEHRfEb6elAOy5ZimZ44mnFjRrE9t9w7F6w+CVX5kHFNGpUlUEqx7UQ5C6ZGMTp4hLu7ukleAX5BlnV7jQ72Z8HUKLbllpvS1kEbFM1nxGZC5FTIe8NsJS7R7fb68PQlGrzRHyLvTUAsmx2fV3aFktoW1mh312cEhsLUZYbr12Fu1rmr3J4ZT+nlFk5cvOL1a2uDovkMEUjfYES5WNTttTozjvYuB+8WeKE/RP6bMOFGCLfmH+StueXYbcLydO3u+hzpG6ChHEo+MVuJS6zIiMXPJmw74aWZeg+0QdF8now7DbeXRRfnZ08YS1x4EG8f9/DNVH3KcHelW9fdtT23nJunRDI2JMBsOb7FtFWG28uiM/UxwQHcNCWS7Sa4vbRB0Xye2AyITLbszWSzCbdnxfPBqWrqWzzo9sp/03i3aLhwQXkD52uadXRXbwSGGVWj89+0bLTX7VnxnK9pJq/Mu24vbVA0n0fEmKUUfwyNvtFWdLCsnRFPe5eDdzyZ5Jj3Joy/0SiuaUHePl6G3dmcSdMLGXdCY6Vlo71WZsThZxPPz9SvQhsUzbVkbLC022vW+DGMGzOKt497KOu/+hRU5Vk6umvL8TIWTI0iMrTPuqojm5RV4DfKsjP1iJAAFkyN4u3jZV51e2mDormWmHSISnFGMVkPEWHN9Hg+PH2JuuZ291+g291l0eiu46X1lNS2sHa6dnf1SUAIpKyE/Legq9NsNS5xx4wESi+3cKzEe0mO2qBorqXb7XX+I2gwvwucK6ydbiQ5ur2ct1KQuwkm3Ayjx7n33F5iS04Z/nYZmb1PBkPGnUaSY/HHZitxiRUZsQTYbV51e2mDoumdjDsBZTyhWZCscaOZEBHs/pup8gRcOglZd7v3vF7C4VC8fbyc21JiGD1KJzNel+QVRm0vi7q9woP8uW1aNFuPe6+2lzYomt6JSTMSHXNf7X+sDyIirJ0ez74zNe4taZ+7yShVb9Fw4eziy1RcaeWOGdrd1S8BwUYIccFmy5a0Xzs9noorrWQXe6ekvTYomr7JvBtKD1m2k+Pa6Ql0OZT76hopBSdehymLISTKPef0Mm8fLyPI3+hBrhkAmfdAcw2c2WO2EpdYlhZLkL+NLTneaUuhDYqmbzKdbp0Tr5mrw0XS4sOYEh3C5mNuuplKDhqdGTPvcc/5vExnl4NtueUsTY0lJNDPbDnWYOoyCBpj2Zl6SKAfS1Nj2X6inM4uz5eS0QZF0zdjJxq5FrmvGk/nFkNE2DBzHAfP11J6uXnoJzyxycigTl0z9HOZwIGztVxqbNfRXYPBL8AIDy/cCu1NZqtxiTtmxHO5uYOC8gaPX8sUgyIiESKyW0ROO9/H9jGuq0dzrc09tk8SkU+cx290dnfUeIKse4wmUpV5ZitxifUzjUiszUOd8nd1GouzySsgKNwNyrzPm8cuEhbox+LUGLOlWIuse6GjCU5uN1uJSyxOjeHgd5aSlTja49cya4byLeBdpVQy8K7ze2+09Giu1TPo/9+BXzqPvww84Vm5I5iMO41FaItO+SdEBjNn4ljePHpxaAle5z8wQkizrOnuamnvYntuOauz4gjyt5stx1pMuBnCx8HxV8xW4hKBfnavJbCaZVDWA885Pz+H0Rd+QDj7yC8BNrlyvGaQhEQZi9AnXrdsOe8NMxM4Vdk4tCl/7iYICDNmKBZkd0ElTe1dbJhlzdwZU7HZjPXEM+9CU43ZanwaswxKrFKqHMD53tccPEhEskXkgIh0G41IoE4p1Z2+Wgrou8STZN1rLEZbtJz3mukJ+NmEt45ddO0E7U1GPk7GeqNNrAV540gp8aODuHFSpNlSrMn0+8DRCfnWzEnxFh4zKCLyjoic6OW1fhCnmaCUmgs8BPxKRKYA0su4Pn0ZIvKk0yhlV1dbs8eH6aSuAf9gyHnJbCUuERESwK0p0WzOKXMtwatwK7Q3wowH3S/OC1xqbOOD05dYP3McNltvt4+mX2IzIToVjlvT9estPGZQlFLLlFKZvbzeAipFJB7A+d5rWVulVJnz/SywF5gFXALGiEh33GMi0OeKq1LqGaXUXKXU3OjoaLf9fCOKwDBIu8NYlO5oMVuNS2yYNY7y+lY+OVc7+INzXoLREwxfugXZklNGl0Nx12w9kXcZEWOmXnLAsnlZ3sAsl9dm4FHn50eBa+p7iMhYEQl0fo4CFgD5ylhZ3QPcc73jNW5m5kPQdsV4Wrcgy9NiCQmw8/qR0sEdeKUMzu6FGQ8YvnQL8ubRi6THh5MSG2a2FGsz4wFAIOdls5X4LGbdIT8BlovIaWC58zsiMldEfucckwZki0gOhgH5iVIq37nvn4C/F5EijDWVZ72qfiSSdCuEJ1rW7TUqwM6a6fFszS2nqW0Q1WNzXzVK+c94wHPiPMiZ6kZySuv17MQdjE6EyYsg50XLBqh4GlMMilKqRim1VCmV7HyvdW7PVkp92fl5n1IqS8/Nr6QAABtKSURBVCk1w/n+bI/jzyql5iulpiql7lVKubFYk6ZXbDaYcT+ceQ+ueL9XtTu4d+54mtu72JY7QP1KwbGXIHE+RE7xrDgP8fqRUmwC62ZYsxGYzzHzYai7AMUfma3EJ7HmHF5jDjMeNJ7Wc60Zjz934lgmRYXw6uEBur3Kc6C6wLKzk84uB5sOl3JbSjQx4UFmyxkepK6BwHA49qLZSnwSbVA0Aycq2XhaP/aSZUux3DMnkYPnaimuGUAZjZyXwB7gLOVvPT48fYnKK23cP2+82VKGDwHBkHmXEUbe5vlSJlZDGxTN4Jj5oPHUXn7MbCUucdfscdgENvU3S+loheMbjSfS4AjviHMzGw+VEBkSwJJUXVnYrcx8GDqaLdsryJNog6IZHBl3GQUSj/zZbCUuET96FAuTo3ntcCld18tJKdgCLZdh9qN9j/FhLjW28U5BJXfNHkeAn77N3UriPIhM1m6vXtC/aZrBMWqM4QI6/oplq6/eOyeRsvpW9p251PegI8/BmIkw6TbvCXMjbxy5SKdDcd9c7e5yOyJGGH3xx1Bzxmw1PoU2KJrBM+cxaG+wbJ+U5emxjB7lz8ZDJb0PqDkD5z+E2V+0ZO6JUoqN2SXMmjCGZJ174hlmPgQ2Pzj8B7OV+BTWu1s05jP+BqMMxeE/mq3EJYL87dw9O5GdeRVUN/QScX7kOaPC8qxHvC/ODRy5UEdRVSP369mJ5wiLM9bXjr5grLdpAG1QNK4gAnMeh4uHofy42Wpc4uEbJ9DRpXgl+6pZSme74RtPWWX80bAgLx+8wCh/O2t17olnmfM4tNQa620aQBsUjavMuN9YnLfoLGVKdCg3TY7kxU8ufH5x/tR2o+/JHGsuxl9uamdzThl3zh5HqG7z61km3QYRkyH792Yr8Rm0QdG4xqixll+cf+TGiVysa+H9Uz1qkx7+o9FMaeoy03QNhVcPl9DW6eCLN000W8rwx2YzZikX9kFVgdlqfAJtUDSu0704n7up36G+yIqMWKLDAnn+wAVjQ/Upo7TMnMfBZr2uhl0OxZ8PFDM/KYLUOGu2KbYcMx82kl+z9eI8aIOiGQrjb4CYDDj4jCUz5/3tNh6YN549J6soqW02fg57gGEoLcj7p6ooqW3hizfr2YnXCImE9A1GBWKLztTdiTYoGtcRgRu/CpUnjDBbC/Lg/AkI8Nq+PGMxPvMeCLVm35w/7S8mJiyQlRnWDCawLPOegLZ6XdYebVA0QyXrXgiOhAP/bbYSl0gYM4plabF0Hv4zdDTBDU+aLcklimuaeP9UNQ/On4C/Xd/WXmX8DZAwGw7814gva69/8zRDwz8I5j4BJ7dbNmv4LxZO5N6u7VSNmQkJs8yW4xJ/3l+MXYSHbphgtpSRhwjc9DWoKYKi3WarMRVtUDRDZ94TRtbwwWfMVuISc9sPMdFWxX+1LLt+fS8fpb6lg5cOXmDN9HhidZl6c0hfbzSg2/8bs5WYiimB6iISAWwEkoDzwH1KqctXjVkM/LLHplTgAaXUmyLyR+A2oN657zGllEvlbzs6OigtLaW1deRmuwYFBZGYmIi/v79rJwiLg8y74ejzsPg7EDTavQI9jHzy37SMiuP5y9O5Mb+SVZnWWoN4/kAxTe1d/OWt1mwCNiyw+xvu0t3fM5J946ebrcgUzMp8+hbwrlLqJyLyLef3f+o5QCm1B5gJnxqgImBXjyH/qJQacrxqaWkpYWFhJCUlISJDPZ3lUEpRU1NDaWkpkyZNcv1EN34Fjr9sVCG++evuE+hpSg/DuQ8IWPoD4vaF8bsPz1rKoLR2dPGHj89za0o06Qk6VNhUZj8Ke//dWEu583/MVmMKZrm81gPPOT8/B2zoZ/w9wHalVLO7hbS2thIZGTkijQkYTaciIyOHPkNLmAVJtxhTfivVNvrwFxA0Bvv8L/OlBZPILr7MkQuX+z/OR3j9yEUuNbbxlVsnmy1FM2oMzP6CkZdl0TbZQ8UsgxKrlCoHcL7H9DP+AeClq7Y9JSLHReSXIhLY14Ei8qSIZItIdnV1dV9jBiF9+OG2n//W/wMN5XDsefecz9NU5sPJrXDDVyAwjPvmjScsyI///eCs2coGRJdD8b8fnmV64mhumhJpthwNGGH0ygH7fm22ElPwmEERkXdE/n97dx4dRZU9cPx7s5GEsCdhWEQiJAgYhBB2iDiIgCKMDOLyIyQsR2XUMI6oMD8ZBcFBQEFHB3+CIKCjAw4CKquDGA2IECKSALKISAhbArJEtiTv90c1nIChE6C7q5O+n3NyoKuqq2+Fpm+/eu/dJ5kl/PS9yvPUAWKBFcU2j8bqU2kD1OSy22XFGWPeNsbEG2PiIyLK5/yCciPqNmuJ4K+nWUUWvd3XUyGwMrR7BICwSgEkdWjIssyDbD94wubgSrcy6yB7cvN5JKGRz38p8ho1GsKtD1r1vU4esjsaj3NbQjHG3GGMuaWEn8XAIUeiuJAwDjs51QDgY2PM+WLnPmAsZ4HZQFt3XYcdhg0bxtatW0s9btq0acydO9fpMQ888AA7d+50VWjOicBtz8Dxfdbyud7s6I+Q+RG0GXLJEr/DukRRpVIA01Z56Hd2jYqKDG98sYsba4WWqz4fn5DwFBSeh7TX7I7E4+y65bUEuFDONQlwtjjzg1x2u6tYMhKs/pdMN8Rom5kzZ9KsWTOnxxQUFDBr1iweeughp8cNHz6cSZMmuTI85xrfYfWnfPUKFBZ47nWvVtpr1lDnDpcOIKgeGsTgzlEszzpIVs7xKzzZfssyD5KVc4IR3aLx99PWiVepeRO0uB82vuNzrRS7RnlNBOaLyFDgZ+A+ABGJBx41xgxzPG4I3AB8ednz3xeRCECA74BHXRHU2E+y2Jrj2lsdzepW5fl7ml9xf35+PgMGDCA7O5vCwkLGjBnD9OnTmTJlCvHx8YSFhTFixAg+/fRTQkJCWLx4MbVr12b16tXExcUREBBAQUEBHTp0YPLkyXTt2pXRo0fj5+fHhAkT6NKlC8nJyRQUFBAQ4IF/bhFIeBo+fMha0fHW+93/mlcrb7c1xDkuqcQ1T4Z2jmJ22h5e+3wnbw+KtyFA5woKi3h11Q9ER4bRt2U9u8NRJUkYabXS174OPSbYHY3H2NJCMcbkGWO6GWOiHX8edWzfeCGZOB7/ZIypZ4wpuuz5vzfGxDpuoQ00xpzy9DW4yvLly6lbty6bN28mMzOTnj17XrI/Pz+f9u3bs3nzZhISEpgxYwYAaWlptG7dGoCAgADeffddhg8fzqpVq1i+fDnPP/88AH5+fjRu3JjNmzd77qJiekHtWFjzEhSUsCKi3Va/aBWBvO2ZEndXCwlkWOebWLn1EJn7va+V8nHGfnYfyeepO2O0deKtajWCFgNgg2+1UnQFnmKctSTcJTY2lpEjR/Lss8/Su3dvunTpcsn+oKAgevfuDUDr1q1Ztcoq7XDgwAGaNm168bjmzZuTmJjIPffcw7p16wgKCrq4LzIykpycnIsJyO38/KD7WHivH3w7w7vmpWSnQ9bHkPCM0xUZB3duyKy0Pby6agezktt4MEDnzhYUMu3zncTWq6ZFIL1dwtOwZQGs+TvcM83uaDxCS6/YLCYmhvT0dGJjYxk9ejTjxo27ZH9gYODFETz+/v4UFFj9EiEhIb+ZO7JlyxaqV6/OoUOXfiM6c+YMISEhbryKEjTuZvWnpE6CX4969rWvxBhrJnNoOHRKcXpo1eBAhndtxOrth0ndUfJwczt8+O0+9v9ymqd7NNGRXd6uViNoMww2zYGDFaqb94o0odgsJyeH0NBQBg4cyMiRI9m0aVOZnte0aVN27dp18fHChQvJy8sjNTWVlJQUfvnll4v7duzYQfPmnm99ced4OHsSvvTgoABndq6EvV9D11FQqUqphw/u1JCGtUIZ+0kW5wvtryJ7LP8c0z7fQbuomnSJDrc7HFUWtz1rlSJaPqpcrhl0tTSh2GzLli20bduWli1bMmHCBJ577rkyPa9Xr16kpqYCkJuby6hRo3jnnXeIiYnh8ccfZ8SIEQAcOnSIkJAQ6tSp47ZruKLIphA3CDbMsL8SceF5q3VSs1GZF9CqFODPmN7N2H0knzlrf3JreGUxacUPnDhTwAt9mmvrpLwIrQm3/6+1XtD2z+yOxu3E+EDWvCA+Pt5s3Ljxkm3btm27pC+iPLn33nuZNGkS0dHRVzxm6tSpVK1alaFDhzo9l9t+D6cOw+utoGFnePBDaxSYHVKnWJ3xD3wAN99V5qcZY0ievYFNe4/xxdNdCQ+7YlEGt8r4+Rj9pq9lSKcoxvR2PqRceZnCAnirkzVA5bH1EGDPe+h6iEi6MabUIY/aQinHJk6cyIEDzmsGVa9enaSkJKfHuFVYJHQdDTuWW8OI7ZC7y7rt1qzvVSUTsMrS/O2eZpw+X8ik5dvdFKBzhUWG5xZlElmlEn++48pfHpSX8g+AHi/BsT0VfrKjJpRyrEmTJiQkJDg9ZvDgwZ6Zf+JM++FQvw0sfdpqsXhSURF8MsJaCKzX5Gs6RaOIMIZ2jmL+xmxbOujf+2YvWTknGNO7GVWCr3GJAWWvxt2s5aW/fBkOeHAI/wUeWklSE4pyPz9/6PsmnDsFS0d69rUz5lkd8d1fhCq1r/k0T3aPIToyjJELNnMs33N1yn48coqXl2+nS3Q4d8fa0A+mXOeuydZy2R8/6tn5Wdnp1i233F2lH3udNKEoz4hoYo2u2roYshZ55jWP7oGVY6yy+nGDrutUwYH+TL2/Jcd+PcdzizLxRN/j2YJCnvggg6AAP17+YwvtiC/vQmtCn3/A4a3W3BRPOH0MFiRboy2L1axzF00oynM6joA6La1bUO4e9XXuV/h3olWcp88/XDIY4JZ61XiyewyfbTnAou/2X3+MpZi4bDtZOSeY3P9W6lb38Dwi5R4xPaBVotWXsnede1/LGFj0mLWkxH3vakJRFYx/gPXGFrFqfZ096Z7XMQY+fRIOZUK/mVDzOlaivMwjCY1o07AGYxZlubXE/aqth5id9hPJHRvSvdm136pTXqjHS1C9AcxPhGN73fc669601vvpPg7qe6YmnSaUCiAjI4Nhw4Y5PeaNN95g9uzZHorIiZpRVlLJ3QkLH3FPZ+GGmdZyxF1HQcydLj21v5/w+oOtCKsUQPKsDRw4ftql5wfYmnOCp+Z/R/O6VRl9180uP7+yWXBVeGi+tWbQv+6HM26oF/dTGnz+PNzc2xoU4yGaUCqAl156iSeeeMLpMUOGDOH1171kFbmbulrf0n74zJob4krbPrVmJUffadXrcoM61UKYPbgNp84WMHj2Bk6cOV/6k8poT24+g2atp3KlAN4a2JpKAf4uO7fyIhFN4P65kLcTFgx27VIP2RutRFUjyhoM48G+Ny0OWdyyUXBwi2vP+btY6DXR6SFz585lypQpiAgtWrRg/PjxDBkyhCNHjhAREcHs2bNp0KABCxYsYOzYsfj7+1OtWjVSU1M5efIk33//PbfeeisAKSkphIeH87e//Y0VK1YwYcIE1qxZQ2hoKA0bNuTbb7+lbVsvWI+s3SNW5+TXr0JRgdUsv943ftbH8J9hVj9NvxlWkUo3aVqnKtMHxjF49gaGv5fOjEHxhAZd33+nnF9OM3DmeooMzBvajhtqhrooWuWVbuoKd79i9SkuehT6/hMCgkp7lnM5GTCvH1QOh6Ql1jr3HqQJxWZZWVlMmDCBtLQ0wsPDOXr0KElJSQwaNIikpCRmzZpFSkoKixYtYty4caxYsYJ69epdrNW1ceNGbrnllovnmzhxIm3atKFLly6kpKSwdOlS/BwfrPHx8Xz11VfekVBEoPdU8A+01ow4fQx6T7P6Wa7F9/Ph40esJYj/Z4F1W8HNukRHMKl/C0Yu2Ez/6euYmRR/zZ3nOw6d5OG5Gzlx+jwfPNyexpFhLo5WeaXWyVbx1P+OhZMH4f55EFLj2s6VnW5V+A6uBkmfQNW6Lg21LDShFFdKS8IdVq9eTf/+/QkPt4r91axZk3Xr1rFw4UIAEhMTeeYZ69ZNp06dSE5OZsCAAfTr1w+wythHRERcPF9oaCgzZswgISGBqVOn0qhRo4v7IiMj2b7dntneJfLzh7umWGPzv3wZ8o/APa9f3XyRc7/CFxOsDsgbO8FD/4ZKnvsw7hdXnxqVg0j5VwZ93khjxqDWtGpwdR8IH6Vn89yiLYRVCuTdIW24pV41N0WrvFKXv0C1+rDoT/BOD+s9fDUDSYqKrC9lq1+EKnWslkn1G9wXrxO29KGIyH0ikiUiRY5VGq90XE8R+UFEdonIqGLbo0RkvYjsFJF/i8h1thPtY4wpdX7Bhf1vvfUW48ePZ9++fbRs2ZK8vLwrlrGvVasWOTk5l2y3pYx9aUTg9r9as9h3r4Y34mH921BUWPpzf/4G3uoM696A+MFWy8SDyeSC25tEsvBPHQkN8mfA/63jhSVZHD55ptTn7Tv6K0/N38zIBZtpeUN1lo7oTOsb3T+0U3mhFgMgcaHVSvlne/h8LJwpwyjCoz/CvD84OuDvhkdSXTqq8WrZ1SmfCfQDUq90gIj4A28CvYBmwIMicqEq3svAVGNMNHAMcF750It169aN+fPnk5eXB8DRo0fp2LEjH374IQDvv/8+nTt3BmD37t20a9eOcePGER4ezr59+35Txn7v3r288sorZGRksGzZMtavX39x344dOy65PeZV2j0Mw9dBvThY9jRM72TV38r57tKy36eOWIt2vdMDZvWwqggPWmzdPguyr88hunYVFj/WiT/G1WfeN3u5bdIa/r50G2m7cjn+q9Vpb4wh79RZ1u7K5U/vp3Pb5C9Y9N1+Hr+9Me8NbUdklWDb4ldeICoBhqdB0z5W3+I/4mDNRNjzFZx3jCY0Bk7/Yk0QnnevVXg1e4M11+q+OR6Za+KMrdWGRWQNMNIYs7GEfR2AF4wxPRyPRzt2TQSOAL8zxhRcfpwz3lpteM6cOUyePBl/f39atWrFCy+8wJAhQ8jNzb2kU75fv37s3LkTYwzdunVj2rRpiAixsbGsXbuWsLAwunfvTkpKCn369CE9PZ3k5GQ2bNhAcHAwcXFxrFy58uLtteK84fcAWP9hshZat7D2bwIMBDnWLik8C4WOsicRTSG2v9W5X4a1TTxpT24+0z7fwZLNORdz4e+qBnP89HlOn7daXtVCAnmwbQOSOt5InWpe1mpU9tufDqueh5++Bgz4BVq3hn/NgyLHqMKq9a0KEHGJbu8vKWu1YW9OKP2BnhfWmBeRRKAd8ALwjTGmsWP7DcAyY0yJX71F5GHgYYAGDRq03rv30olEXvNBeh2mTp1KlSpVnM5FycjI4NVXX2XevHkl7vfK38OpI7BrlTVyxS/AWgc+uCrE9ITaNiwYdpWO5Z9jy/7jbNl/nN2HT1GjchD1qodQv0YInaPDr3tUmPIBp4/Bz+vh57VW533lcGvF0YibodHtVj+kB5Q1objtHS0inwMlLXr9v8aYxWU5RQnbjJPtJTLGvA28DVYLpQyvW+4MHz6cBQsWOD0mNzeXF1908ZwPdwuLgJYPWT/lUI3KQSTERJAQE1H6wUqVJKQGNOlp/ZQDbksoxpg7rvMU2UDxoQr1gRwgF6guIgHGmIJi231WcHAwiYmJTo/p3r27h6JRSvkqb54pvwGIdozoCgIeAJYY6x7dF0B/x3FJQFlaPFfkS6tWlsTXr18p5Rp2DRu+V0SygQ7AZyKywrG9rogsBXC0Ph4HVgDbgPnGmCzHKZ4F/iIiu4BawDvXGktwcDB5eXk++6FqjCEvL4/gYB1hpJS6Pj6/pvz58+fJzs7+zVwOXxIcHEz9+vUJDNTVAJVSv2V7p3x5ERgYSFSUfROBlFKqovDmPhSllFLliCYUpZRSLqEJRSmllEv4VKe8iBwBrnXNzXCsOTC+xhev2xevGXzzuvWay+ZGY0ypM3R9KqFcDxHZWJZRDhWNL163L14z+OZ16zW7lt7yUkop5RKaUJRSSrmEJpSye9vuAGzii9fti9cMvnndes0upH0oSimlXEJbKEoppVxCE4pSSimX0IRSBiLSU0R+EJFdIjLK7njcTURuEJEvRGSbiGSJyAi7Y/IUEfEXkQwR+dTuWDxFRKqLyEcist3xb97B7pjcTUSedLy3M0XkAxGpkOW2RWSWiBwWkcxi22qKyCoR2en4s4arXk8TSilExB94E+gFNAMeFJFm9kbldgXAU8aYpkB74DEfuOYLRmAtl+BLXgOWG2NuBm6lgl+/iNQDUoB4x9Lh/ljrLVVE7wKXL/c4CvivMSYa+K/jsUtoQildW2CXMeZHY8w54EOgr80xuZUx5oAxZpPj7yexPmDq2RuV+4lIfeBuYKbdsXiKiFQFEnCsKWSMOWeM+cXeqDwiAAgRkQAglAq66qsxJhU4etnmvsAcx9/nAH9w1etpQildPWBfscfZ+MCH6wUi0hBoBay3NxKPmAY8AxTZHYgH3QQcAWY7bvXNFJHKdgflTsaY/cAU4GfgAHDcGLPS3qg8qrYx5gBYXx6BSFedWBNK6aSEbT4x1lpEwoD/AH82xpywOx53EpHewGFjTLrdsXhYABAHTDfGtALyceEtEG/k6DPoC0QBdYHKIjLQ3qgqBk0opcsGbij2uD4VtHlcnIgEYiWT940xC+2OxwM6AX1E5Ces25q/F5H37A3JI7KBbGPMhRboR1gJpiK7A9hjjDlijDkPLAQ62hyTJx0SkToAjj8Pu+rEmlBKtwGIFpEoEQnC6rxbYnNMbiUignVPfZsx5lW74/EEY8xoY0x9Y0xDrH/j1caYCv+t1RhzENgnIk0cm7oBW20MyRN+BtqLSKjjvd6NCj4Q4TJLgCTH35OAxa46sc8vAVwaY0yBiDwOrMAaDTLLGJNlc1ju1glIBLaIyHeObX81xiy1MSblPk8A7zu+MP0IDLY5HrcyxqwXkY+ATVgjGjOooCVYROQDoCsQLiLZwPPARGC+iAzFSq73uez1tPSKUkopV9BbXkoppVxCE4pSSimX0ISilFLKJTShKKWUcglNKEoppVxCE4pSSimX0ISilFLKJTShKGUjEWkjIt+LSLCIVHas0XGL3XEpdS10YqNSNhOR8UAwEIJVV+vvNoek1DXRhKKUzRwlTzYAZ4COxphCm0NS6proLS+l7FcTCAOqYLVUlCqXtIWilM1EZAlWyfwooI4x5nGbQ1Lqmmi1YaVsJCKDgAJjzL9ExB9YKyK/N8astjs2pa6WtlCUUkq5hPahKKWUcglNKEoppVxCE4pSSimX0ISilFLKJTShKKWUcglNKEoppVxCE4pSSimX+H9xF0mQielEwAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11818a4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f = plt.figure()\n",
    "ax = f.add_subplot(1, 1, 1)\n",
    "\n",
    "x = np.arange(0, 10, 0.1)\n",
    "\n",
    "# Setting the label kwarg lets us generate a legend\n",
    "ax.plot(x, np.sin(x), label='sin(x)')\n",
    "ax.plot(x, np.cos(x), label='cos(x)')\n",
    "ax.legend()\n",
    "\n",
    "ax.set_title('Sinusoids')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a shortcut, `matplotlib` has plotting methods on the `plt` module itself that will automatically initialize a figure and axes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ff38f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Shorthand to create figure and axes and call ax.plot\n",
    "plt.plot(x, np.sin(x))\n",
    "\n",
    "# When plt methods are called multiple times in the same cell, the\n",
    "# existing figure and axes are reused.\n",
    "plt.scatter(x, np.cos(x));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `plt` module has analogous methods to an axes, so we can recreate one of the plots above using `plt` shorthands."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118310630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(0, 10, 0.1)\n",
    "\n",
    "plt.plot(x, np.sin(x), label='sin(x)')\n",
    "plt.plot(x, np.cos(x), label='cos(x)')\n",
    "plt.legend()\n",
    "\n",
    "# Shorthand for ax.set_title\n",
    "plt.title('Sinusoids')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "\n",
    "# Set the x and y-axis limits\n",
    "plt.xlim(-1, 11)\n",
    "plt.ylim(-1.2, 1.2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Customizing Marks\n",
    "\n",
    "To change properties of the plot marks themselves (e.g. the lines in the plot above), we can pass additional arguments into `plt.plot`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118314390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, np.sin(x), linestyle='--', color='purple');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Checking the `matplotlib` documentation is the easiest way to figure out which arguments are available for each method. Another way is to store the returned line object:\n",
    "\n",
    "    In [1]: line, = plot([1,2,3])\n",
    "\n",
    "These line objects have a lot of properties you can control, here's the full list using tab-completion in IPython:\n",
    "\n",
    "    In [2]: line.set\n",
    "    line.set                     line.set_drawstyle           line.set_mec\n",
    "    line.set_aa                  line.set_figure              line.set_mew\n",
    "    line.set_agg_filter          line.set_fillstyle           line.set_mfc\n",
    "    line.set_alpha               line.set_gid                 line.set_mfcalt\n",
    "    line.set_animated            line.set_label               line.set_ms\n",
    "    line.set_antialiased         line.set_linestyle           line.set_picker\n",
    "    line.set_axes                line.set_linewidth           line.set_pickradius\n",
    "    line.set_c                   line.set_lod                 line.set_rasterized\n",
    "    line.set_clip_box            line.set_ls                  line.set_snap\n",
    "    line.set_clip_on             line.set_lw                  line.set_solid_capstyle\n",
    "    line.set_clip_path           line.set_marker              line.set_solid_joinstyle\n",
    "    line.set_color               line.set_markeredgecolor     line.set_transform\n",
    "    line.set_contains            line.set_markeredgewidth     line.set_url\n",
    "    line.set_dash_capstyle       line.set_markerfacecolor     line.set_visible\n",
    "    line.set_dashes              line.set_markerfacecoloralt  line.set_xdata\n",
    "    line.set_dash_joinstyle      line.set_markersize          line.set_ydata\n",
    "    line.set_data                line.set_markevery           line.set_zorder\n",
    "    \n",
    "\n",
    "But the `setp` call (short for set property) can be very useful, especially\n",
    "while working interactively because it contains introspection support, so you\n",
    "can learn about the valid calls as you work:\n",
    "\n",
    "    In [7]: line, = plot([1,2,3])\n",
    "\n",
    "    In [8]: setp(line, 'linestyle')\n",
    "      linestyle: [ ``'-'`` | ``'--'`` | ``'-.'`` | ``':'`` | ``'None'`` | ``' '`` | ``''`` ]         and any drawstyle in combination with a linestyle, e.g. ``'steps--'``.         \n",
    "\n",
    "    In [9]: setp(line)\n",
    "      agg_filter: unknown\n",
    "      alpha: float (0.0 transparent through 1.0 opaque)         \n",
    "      animated: [True | False]         \n",
    "      antialiased or aa: [True | False]\n",
    "      ...\n",
    "      ... much more output omitted\n",
    "      ...\n",
    "\n",
    "In the first form, it shows you the valid values for the 'linestyle' property,\n",
    "and in the second it shows you all the acceptable properties you can set on the\n",
    "line object.  This makes it easy to discover how to customize your figures\n",
    "to get the visual results you need."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Aribitrary text and LaTeX support\n",
    "\n",
    "In matplotlib, text can be added either relative to an individual axis object\n",
    "or to the whole figure.\n",
    "\n",
    "These commands add text to the Axes:\n",
    "\n",
    "- `set_title()` - add a title\n",
    "- `set_xlabel()` - add an axis label to the x-axis\n",
    "- `set_ylabel()` - add an axis label to the y-axis\n",
    "- `text()` - add text at an arbitrary location\n",
    "- `annotate()` - add an annotation, with optional arrow\n",
    "\n",
    "And these act on the whole figure:\n",
    "\n",
    "- `figtext()` - add text at an arbitrary location\n",
    "- `suptitle()` - add a title\n",
    "\n",
    "And any text field can contain LaTeX expressions for mathematics, as long as\n",
    "they are enclosed in `$` signs.\n",
    "\n",
    "This example illustrates all of them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118570400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "fig.suptitle('bold figure suptitle', fontsize=14, fontweight='bold')\n",
    "\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "fig.subplots_adjust(top=0.85)\n",
    "ax.set_title('axes title')\n",
    "\n",
    "ax.set_xlabel('xlabel')\n",
    "ax.set_ylabel('ylabel')\n",
    "\n",
    "ax.text(3, 8, 'boxed italics text in data coords', style='italic',\n",
    "        bbox={'facecolor':'red', 'alpha':0.5, 'pad':10})\n",
    "\n",
    "ax.text(2, 6, 'an equation: $E=mc^2$', fontsize=15)\n",
    "\n",
    "ax.text(3, 2, 'unicode: Institut für Festkörperphysik')\n",
    "\n",
    "ax.text(0.95, 0.01, 'colored text in axes coords',\n",
    "        verticalalignment='bottom', horizontalalignment='right',\n",
    "        transform=ax.transAxes,\n",
    "        color='green', fontsize=15)\n",
    "\n",
    "\n",
    "ax.plot([2], [1], 'o')\n",
    "ax.annotate('annotate', xy=(2, 1), xytext=(3, 4),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))\n",
    "\n",
    "ax.axis([0, 10, 0, 10]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Customizing a `seaborn` plot using `matplotlib`\n",
    "\n",
    "Now that we've seen how to use `matplotlib` to customize a plot, we can use the same methods to customize `seaborn` plots since `seaborn` creates plots using `matplotlib` behind-the-scenes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>survived</th>\n",
       "      <th>pclass</th>\n",
       "      <th>sex</th>\n",
       "      <th>age</th>\n",
       "      <th>...</th>\n",
       "      <th>deck</th>\n",
       "      <th>embark_town</th>\n",
       "      <th>alive</th>\n",
       "      <th>alone</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>female</td>\n",
       "      <td>38.0</td>\n",
       "      <td>...</td>\n",
       "      <td>C</td>\n",
       "      <td>Cherbourg</td>\n",
       "      <td>yes</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>female</td>\n",
       "      <td>35.0</td>\n",
       "      <td>...</td>\n",
       "      <td>C</td>\n",
       "      <td>Southampton</td>\n",
       "      <td>yes</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>male</td>\n",
       "      <td>54.0</td>\n",
       "      <td>...</td>\n",
       "      <td>E</td>\n",
       "      <td>Southampton</td>\n",
       "      <td>no</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>female</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>G</td>\n",
       "      <td>Southampton</td>\n",
       "      <td>yes</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>female</td>\n",
       "      <td>58.0</td>\n",
       "      <td>...</td>\n",
       "      <td>C</td>\n",
       "      <td>Southampton</td>\n",
       "      <td>yes</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 15 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   survived  pclass     sex   age  ...    deck  embark_town  alive  alone\n",
       "0         1       1  female  38.0  ...       C    Cherbourg    yes  False\n",
       "1         1       1  female  35.0  ...       C  Southampton    yes  False\n",
       "2         0       1    male  54.0  ...       E  Southampton     no   True\n",
       "3         1       3  female   4.0  ...       G  Southampton    yes  False\n",
       "4         1       1  female  58.0  ...       C  Southampton    yes   True\n",
       "\n",
       "[5 rows x 15 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Load seaborn\n",
    "import seaborn as sns\n",
    "sns.set()\n",
    "sns.set_context('talk')\n",
    "\n",
    "# Load dataset\n",
    "ti = sns.load_dataset('titanic').dropna().reset_index(drop=True)\n",
    "ti.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll start with this plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118adee48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='age', y='fare', hue='who', data=ti, fit_reg=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the plot needs a title and better labels for the x and y-axes. In addition, the two people with the most expensive fares survived, so we can annotate them on our plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118aba0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='age', y='fare', hue='who', data=ti, fit_reg=False)\n",
    "\n",
    "plt.title('Fare Paid vs. Age of Passenger, Colored by Passenger Type')\n",
    "plt.xlabel('Age of Passenger')\n",
    "plt.ylabel('Fare in USD')\n",
    "\n",
    "plt.annotate('Both survived', xy=(35, 500), xytext=(35, 420),\n",
    "             arrowprops=dict(facecolor='black', shrink=0.05));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In practice, we use `seaborn` to quickly explore the data and then turn to `matplotlib` for fine-tuning once we decide on the plots to use in a paper or presentation."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": false,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": true,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
